Modeling inelastic deformation: viscolelasticity, plasticity, fracture
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of ductile fracture
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
A method for animating viscoelastic fluids
ACM SIGGRAPH 2004 Papers
Invertible finite elements for robust simulation of large deformation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Particle-based viscoelastic fluid simulation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
ACM SIGGRAPH 2006 Papers
Point-Based Graphics
A unified particle model for fluid–solid interactions: Research Articles
Computer Animation and Virtual Worlds
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
An effects recipe for rolling a dough, cracking an egg and pouring a sauce
ACM SIGGRAPH 2007 sketches
ACM SIGGRAPH 2007 posters
Fast viscoelastic behavior with thin features
ACM SIGGRAPH 2008 papers
Journal of Computational Physics
A unified lagrangian approach to solid-fluid animation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 papers
Solid simulation with oriented particles
ACM SIGGRAPH 2011 papers
A particle-based method for preserving fluid sheets
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A level-set method for skinning animated particle data
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A feasibility study of levels-of-detail in point-based haptic rendering
EuroHaptics'12 Proceedings of the 2012 international conference on Haptics: perception, devices, mobility, and communication - Volume Part I
A framework for GPU accelerated deformable object modeling
International Journal of High Performance Computing Applications
Efficient simulation of example-based materials
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Real-time example-based elastic deformation
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Efficient simulation of example-based materials
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Real-time example-based elastic deformation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Subspace integration with local deformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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In this paper we describe a point-based approach for animating elastoplastic materials. Our primary contribution is a simple method for computing the deformation gradient for each particle in the simulation. The deformation gradient is computed for each particle by finding the affine transformation that best approximates the motion of neighboring particles over a single timestep. These transformations are then composed to compute the total deformation gradient that describes the deformation around a particle over the course of the simulation. Given the deformation gradient we can apply arbitrary constitutive models and compute the resulting elastic forces. Our method has two primary advantages: we do not store or compare to an initial rest configuration and we work directly with the deformation gradient. The first advantage avoids poor numerical conditioning and the second naturally leads to a multiplicative model of deformation appropriate for finite deformations. We demonstrate our approach on a number of examples that exhibit a wide range of material behaviors.